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lesantik [10]
3 years ago
9

What is the missing statement in the proof?

Mathematics
1 answer:
Advocard [28]3 years ago
8 0
A statement that defines who you are as a professional and what you hope to
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The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the
Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

  • a +b +c = 26
  • 2a -b = c -2
  • -3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0
3 years ago
A puppy ways 5 3/4 how many does the puppy way in ounces???<br><br> I NEED HELP ASAP!!
Anastasy [175]

Answer: 23 ounces

Step-by-step explanation:

5 0
2 years ago
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Which algebraic expression is equivalent to the expression below?
Paraphin [41]
That's easy
5x+4x–x=8x
8 0
3 years ago
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Which of the following lists does not include all the factors of the number?
lianna [129]
21: The factors of 21 are 1,3,7,21
7 0
3 years ago
If 1 inch is 500 miles, then 4 inches is how many miles?
tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

1 inch=500 miles

This can be rewritten as:

\frac{500 miles}{1inch}

This is representative of a unit rate, as we have a 1 in the denominator. To calculate the number of miles in 4 inches, simply multiply the unit rate by 4:

\frac{500 miles}{1inch}*4=

\frac{2000 miles}{4 inches}

This can rewritten as:

4inches=2000miles

Therefore, there are 2,000 miles in 4 inches.

-

We can check our solution by simplifying the fraction \frac{2000 miles}{4 inches} by dividing both 2000 and 4 by 4 to see if we achieve the unit rate:

\frac{500 miles}{1 inch}

Since this is in fact the unit rate, our solution is correct!

6 0
2 years ago
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